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arXiv · 1703.07073

Heisenberg Modules over Quantum 2-tori are metrized quantum vector bundles

Frederic Latremoliere
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Abstract

The modular Gromov-Hausdorff propinquity is a distance on classes of modules endowed with quantum metric information, in the form of a metric form of a connection and a left Hilbert module structure. This paper proves that the family of Heisenberg modules over quantum two tori, when endowed with their canonical connections, form a family of metrized quantum vector bundles, as a first step in proving that Heisenberg modules form a continuous family for the modular Gromov-Hausdorff propinquity.

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BibTeXRIS

Frederic Latremoliere. 2017-03-21. Heisenberg Modules over Quantum 2-tori are metrized quantum vector bundles. https://arxiv.org/abs/1703.07073

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